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7.2-1 For acertain binary nonsymmetric channel it is given that Py\\x(O|1) =0.1 and Py|x (1/0) = 0.2 where x is the transmitted digit and y is the received digit. Assume that P, (0) = 0.4. (a) Determine Py (0) and Py(1). (b) What is the probability that only 0s will be in the output for an input sequence of 10 digits? (c) What is the probability that eight 1s and two Os will be in the output for an input sequence of 10 digits? (d) What is the probability that at least five 0s will be in the output for an input sequence of 10 digits